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Finding the Fourth Proportional to 9,887.69, 14,833.96 and 2,962.19

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Solution

The fourth proportional to 9,887.69, 14,833.96 and 2,962.19 is: 4,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.69 : 14,833.96 = 2,962.19 : x
  2. Step 2: Convert to fraction form
    9,887.69/14,833.96 = 2,962.19/x
  3. Step 3: Cross multiply
    9,887.69x = 14,833.96 × 2,962.19
  4. Step 4: Simplify right side
    9,887.69x = 43,941,015.38
  5. Step 5: Solve for x
    x = 43,941,015.38/9,887.69
  6. Step 6: Final answer
    x = 4,444.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.